MAT 240 Module Five Assignment Guidelines and Rubric
Scenario
You have been hired by the Regional Real Estate Company to help them analyze real estate data. One of the company’s Pacific region salespeople just returned to the office with a newly designed advertisement. The average cost per square foot of home sales based on this advertisement is $280. The salesperson claims that the average cost per square foot in the Pacific region is less than $280. In other words, he claims that the newly designed advertisement would result in higher average cost per square foot in the Pacific Region. He wants you to make sure he can make that statement before approving the use of the advertisement. In order to test his claim, you will generate a random sample of size 750 houses using data for the Pacific region and use this data to perform a hypothesis test.
Prompt
Generate a sample of size 750 houses using data for the Pacific region. Then, design a hypothesis test and interpret the results using significance level α = .05. You will work with this sample in this assignment. Briefly describe how you generated your random sample.
Use the House Listing Price by Region document to help support your work on this assignment. You may also use the Descriptive Statistics in Excel PDF and Creating Histograms in Excel PDF tutorials for support.
Specifically, you must address the following rubric criteria, using the Module Five Assignment Template Word Document
Introduction: Describe the purpose of this analysis and how you generated your random sample size of 750 houses.
Hypothesis Test Setup: Define your population parameter, including hypothesis statements, and specify the appropriate test.
Define your population parameter.
Write the null and alternative hypotheses.
Specify the name of the test you will use.
Identify whether it is a left-tailed, right-tailed, or two-tailed test.
Data Analysis Preparations: Describe sample summary statistics, provide a histogram and summary, check assumptions, and identify the test significance level.
Provide the descriptive statistics (sample size, mean, median, and standard deviation).
Provide a histogram of your sample.
Summarize your sample by writing a sentence describing the shape, center, and spread of your sample.
Check whether the assumptions to perform your identified test have been met.
Identify the test significance level. For example, α = .05.
Calculations: Calculate the p value, describe the p value and test statistic in regard to the normal curve graph, discuss how the p value relates to the significance level, and compare the p value to the significance level to reject or fail to reject the null hypothesis.
Calculate the sample mean and standard error.
Determine the appropriate test statistic, then calculate the test statistic.
Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean (Pacific), and the target is 280.
Calculate the p value using one of the following tests.
Choose your test from the following:
=T.DIST.RT([test statistic], [degree of freedom]): right-tailed test
=T.DIST([test statistic], [degree of freedom], 1): left-tailed test
=T.DIST.2T([test statistic], [degree of freedom]): two-tailed test
Note: The degree of freedom is calculated by subtracting 1 from your sample size.
Using the normal curve graph as a reference, describe where the p value and test statistic would be placed.
Test Decision: Compare the relationship between the p value and the significance level, and decide to reject or fail to reject the null hypothesis.
Compare the relationship between the p value and significance level.
Decide to reject or fail to reject the null hypothesis.
Conclusion: Discuss how your test relates to the hypothesis and discuss the statistical significance.
Explain in one paragraph how your test decision relates to your hypothesis and whether your conclusions are statistically significant.
You can use the following tutorial that is specifically about this assignment:
MAT-240 Module 5 Assignment Video
What to Submit
Submit the completed Module Five Assignment Template as a Word document that includes your response and supportive charts.
Module Five Assignment Rubric
Criteria
Exemplary (100%)
Proficient (85%)
Needs Improvement (55%)
Not Evident (0%)
Value
Introduction
Exceeds proficiency in an exceptionally clear manner
Describes the purpose of the analysis and how they generated their sample
Shows progress toward proficiency, but with errors or omissions; areas for improvement may include cursory description or missing elements
Does not attempt criterion
5
Hypothesis Test Setup
Exceeds proficiency in an exceptionally clear manner
Defines the population parameter, including hypothesis statements, specifies the appropriate test
Shows progress toward proficiency, but with errors or omissions; areas for improvement may include inaccurate or incomplete components
Does not attempt criterion
20
Data Analysis Preparations
Exceeds proficiency in an exceptionally clear manner
Describes the sample summary statistics, provides a histogram and summary, checks assumptions, and identifies the test significance level
Shows progress toward proficiency, but with errors or omissions; areas for improvement may include inaccurate or missing elements
Does not attempt criterion
15
Calculations
Exceeds proficiency in an exceptionally clear manner
Calculates the sample mean, standard error, and the p value. Describes the p value and test statistic in regard to the normal curve graph
Shows progress toward proficiency, but with errors or omissions; areas for improvement may include inaccurate calculations or missing elements
Does not attempt criterion
20
Test Decision
Exceeds proficiency in an exceptionally clear manner
Compares the p value to the significance level to reject or fail to reject the null hypothesis
Shows progress toward proficiency, but with errors or omissions; areas for improvement may include inaccurate or cursory discussion
Does not attempt criterion
15
Conclusion
Exceeds proficiency in an exceptionally clear manner
Explains how the test relates to the hypothesis and the statistical significance
Shows progress toward proficiency, but with errors or omissions; areas for improvement may include conclusions that are cursory or missing critical elements
Does not attempt criterion
20
Articulation of Response
Exceeds proficiency in an exceptionally clear manner
Clearly conveys meaning with correct grammar, sentence structure, and spelling, demonstrating an understanding of audience and purpose
Shows progress toward proficiency, but with errors in grammar, sentence structure, and spelling, negatively impacting readability
Submission has critical errors in grammar, sentence structure, and spelling, preventing understanding of ideas
5
Total:
100%
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